Characterizations in a random record model with a non-identically distributed initial record
By: Gadi Barlevy, H.N. Nagaraja.
Contributors: Nagaraja, H. N. 1954-; Federal Reserve Bank of Chicago. Research Dept.
Series: Working paper series ;; WP-2005-05; Working paper series (Federal Reserve Bank of Chicago. Research Dept. : Online) ;; WP-2005-05.
Publisher: Federal Reserve Bank of Chicago
Published: 2005
Place of publication: [Chicago, Ill.]
Language: eng
Format: Electronic resource
Subjects: Job hunting -- Mathematical models.; Wages -- Mathematical models.
Description: "We consider a sequence of random length M of independent absolutely continuous observations Xi, 1=i=M, where M is geometric, X1 has cdf G, and Xi, i=2, have cdf F.  Let N be the number of upper records and Rn, n=1, be the nth record value.  We show that N is free of F if and only if G(x) = G0(F(x)) for some cdf G0 and that if E(|X2|) is finite so is E(|Rn|) for n=2 whenever N=n or N=n.  We prove that the distribution of N along with appropriately chosen subsequences of E(Rn) characterize F and G, and along with subsequences of E(Rn- Rn-1) characterize F and G up to a common location shift.  We discuss some applications to the identification of the wage offer distribution in job search models"--Federal Reserve Bank of Chicago web site.
Notes: Includes bibliographical references.
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